Base | Representation |
---|---|
bin | 1110000101100110101… |
… | …0010110010011110000 |
3 | 212010200221220221011110 |
4 | 3201121222112103300 |
5 | 12431130221122344 |
6 | 303103352513320 |
7 | 23325353546553 |
oct | 3413152262360 |
9 | 763627827143 |
10 | 242022442224 |
11 | 937063a4aa2 |
12 | 3aaa49ab840 |
13 | 19a903a59c4 |
14 | b9dd10a69a |
15 | 64677a33b9 |
hex | 3859a964f0 |
242022442224 has 80 divisors (see below), whose sum is σ = 649560880800. Its totient is φ = 77557874688.
The previous prime is 242022442213. The next prime is 242022442231. The reversal of 242022442224 is 422244220242.
It is a junction number, because it is equal to n+sod(n) for n = 242022442191 and 242022442200.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48769 + ... + 697440.
It is an arithmetic number, because the mean of its divisors is an integer number (8119511010).
Almost surely, 2242022442224 is an apocalyptic number.
242022442224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 242022442224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324780440400).
242022442224 is an abundant number, since it is smaller than the sum of its proper divisors (407538438576).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
242022442224 is a wasteful number, since it uses less digits than its factorization.
242022442224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 746482 (or 746476 counting only the distinct ones).
The product of its (nonzero) digits is 32768, while the sum is 30.
Adding to 242022442224 its reverse (422244220242), we get a palindrome (664266662466).
The spelling of 242022442224 in words is "two hundred forty-two billion, twenty-two million, four hundred forty-two thousand, two hundred twenty-four".
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